Suppose that the interarrival times and service times at a single chair unisex hair-styling shop have been shown to be exponentially distributed with values 2 per hour and 3 per hour respectively. Compute

a) The utilization of server

b) The time-average number of customers in the system

c) The time-average number of customers in the queue

d) The average time customer spends in the system

e) The average time customer spends in the queue

f) The probability of zero, one, two, three, and four or more customers in the shop.